Use conservation of energy:
Initial potential energy = Final potential energy + Energy lost to heat.
You can find the height from the final potential energy.
A steel mass weighing 0.75kg is released down a frictionless ramp of height 5.0m. The steel mass (m) hits a spring made of copper at the bottom of the ramp. The collision results in both the mass m and the spring (M) to have an increase in temperature from 20.00 degrees Celsius to 20.03 degrees Celsius. How high does the steel mass go after the bounce?
I did some looking around for specific heats and found the specific heat for copper to be 0.385 J/G OC and for steel 500 J kg-1 0C-1.
I have almost no clue how to approach this type of problem, and I would appreciate any help I could get.
I created a quick illustration to help:
Assuming that is your initial P.E. (your units were incorrect), and assuming that is the heat energy generated by the collision, you would then have to solve
I am curious as to what you used for the mass of the spring.
It looks like you used 3 kg, rather than 0.75 kg, for the mass the steel object.
By the way,